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arXiv:2003.11810 · Quantum

Searching for Coherent States: From Origins to Quantum Gravity

Pierre Martin-Dussaud

Published Jan 28, 2021• 10 citations
arXivHTMLPDF

Abstract

We discuss the notion of coherent states from three different perspectives: the seminal approach of Schrödinger, the experimental take of quantum optics, and the theoretical developments in quantum gravity. This comparative study tries to emphasise the connections between the approaches, and to offer a coherent short story of the field, so to speak. It may be useful for pedagogical purposes, as well as for specialists of quantum optics and quantum gravity willing to embed their perspective within a wider landscape.

DOI
10.22331/q-2021-01-28-390

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Abstract This is a pedagogical review on T T ¯ deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP-CAS in December 2018. This review consists of four parts. The first part is a general introduction to T T ¯ deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second part focuses on the torus partition sum of the T T ¯ / J T ¯ deformed conformal field theories and modular invariance/covariance. In the third part, different perspectives of T T ¯ deformation are presented, including its relation to random geometry, 2D topological gravity and holography. We summarize more recent developments until January 2021 in the last part.